Lysidice was a name attributed to various figures in Greek mythology. One of them was the daughter of Thespius and Megamede, a lover of Heracles who gave him a son, Teles. Another person by the same name was the daughter of Pelops and Hippodamia, who was the wife of Mestor; together they had a daughter, Hippothoe. There are other figures by the same name who played insignificant roles in a number of myths.